Atkin-Lehner |
2+ 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42550k |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
1063750 = 2 · 54 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5- -4 2 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:7:1] |
Generators of the group modulo torsion |
j |
2941225/1702 |
j-invariant |
L |
4.1448425611187 |
L(r)(E,1)/r! |
Ω |
2.3355236788697 |
Real period |
R |
1.7746951566447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42550p1 |
Quadratic twists by: 5 |